Answer:
\(\frac{1}{8}\)
Step-by-step explanation:
We are given that two rational numbers \(\frac{1}{6}\) and \(\frac{1}{12}\)
We have to find a rational number between \(\frac{1}{6}\) and \(\frac{1}{12}\).
Let c be the rational number lie between \(\frac{1}{6}\) and \(\frac{1}{12}\).
\(c=\frac{a+b}{2}\)
Where a and b are rational number
\(a=\frac{1}{6}, b=\frac{1}{12}\)
Therefore, \(c=\frac{\frac{1}{6}+\frac{1}{12}}{2}\)
\(c=\frac{\frac{2+1}{12}}{2}=\frac{3}{12\times 2}=\frac{1}{8}\)
Hence, the rational number between \(\frac{1}{6}\) and \(\frac{1}{12}\) =\(\frac{1}{8}\)
